Abstract.
It is shown that local Fourier bases are unconditional bases for the modulation spaces on R, including the Bessel potential spaces and the Segal algebra S 0 . As a consequence, the abstract function spaces, that are defined by the approximation properties with respect to a local Fourier basis, are precisely the modulation space s.
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April 22, 1998. Date accepted: May 18, 1999.
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Gröchenig, K., Samarah, S. Nonlinear Approximation with Local Fourier Bases. Constr. Approx. 16, 317–331 (2000). https://doi.org/10.1007/s003659910014
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DOI: https://doi.org/10.1007/s003659910014